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2 Let AABC be a right angled triangle such that A=90, AB AC and let M be the mid point of the side AC.

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2 Let AABC be a right angled triangle such that A=90, AB AC and let M be the mid point of the side AC. Take the point P on the side BC so that AP is vertical to BM, Let H be the intersection point of AP and BM. (1) Find the ratio of the areas of the two triangles AABH ; AAHM. (2) Find the ratio BP: PC.

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